A Local Newspaper Claims That $70 \%$ Of the Items Advertised in Its Classifieds Section Are Sold

Essay

A local newspaper claims that $70 \%$ of the items advertised in its classifieds section are sold within 1 week of the first appearance of the ad. To check the validity of the claim, the newspaper randomly selected $n = 25$ advertisements from last year's classifieds and contacted the people who placed the ads. They found that 14 of the 25 items sold within a week. Based on the newspaper's claim, is it likely to observe $x \leq 14$ who sold their item within a week? Use a binomial probability table.